Learning Goal
Combining multiple transformations
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
- Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
- Guided Notes →One page your students fill in and keep.
- Exit Ticket →Three items at the end of class. No student accounts.
- Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
- Homework →Assign practice; it grades itself.
AF 706. Given an equation or function, find an equation or function whose graph is a translation by specified amounts in the horizontal and vertical directions
AF 705. Identify characteristics of graphs based on a set of conditions or on a general equation such as y = ax² + c
AF 703. Analyze and draw conclusions based on properties of algebra and/or functions
AF 604. Given an equation or function, find an equation or function whose graph is a translation by a specified amount up or down
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AF 706. Given an equation or function, find an equation or function whose graph is a translation by specified amounts in the horizontal and vertical directions
AF 705. Identify characteristics of graphs based on a set of conditions or on a general equation such as y = ax² + c
AF 703. Analyze and draw conclusions based on properties of algebra and/or functions
AF 604. Given an equation or function, find an equation or function whose graph is a translation by a specified amount up or down
What you'll learn
- Identify all four parameters $a$, $b$, $h$, $k$ in an equation of the form $y = a\,f(b(x-h)) + k$ and state each one's effect
- Write the equation for a parent function subjected to a specified sequence of transformations
- Apply transformations in the correct order to sketch a transformed graph, and explain **why** the order matters
- Rewrite $y = f(bx - c)$ as $y = f(b(x-h))$ in order to read the horizontal shift correctly
- Apply the composite point-mapping rule $(p, q) \mapsto \left(\frac{p}{b} + h,\ aq + k\right)$ to find the image of a named point
- Identify characteristics — vertex, opening direction, width, intercept count — from a fully transformed equation
Slides
Step through the lesson, or watch it as a narrated video
Slides
In development
Not yet available • Check back soon!